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Finding the Third Proportional to 229,497 and 356,232

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Solution

The third proportional to 229,497 and 356,232 is: 552,953.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,497 : 356,232 = 356,232 : x
  2. Step 2: Convert to fraction form
    229,497/356,232 = 356,232/x
  3. Step 3: Cross multiply
    229,497x = 356,232 × 356,232
  4. Step 4: Simplify right side
    229,497x = 126,901,237,824
  5. Step 5: Solve for x
    x = 126,901,237,824/229,497
  6. Step 6: Final answer
    x = 552,953.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.